Least Common Multiple (LCM) of 151 and 171
The least common multiple (LCM) of 151 and 171 is 25821.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 151 and 171?
First, calculate the GCD of 151 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 171 = 0 remainder 151 |
| 2 | 171 ÷ 151 = 1 remainder 20 |
| 3 | 151 ÷ 20 = 7 remainder 11 |
| 4 | 20 ÷ 11 = 1 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 147 | 16905 |
| 108 and 130 | 7020 |
| 40 and 44 | 440 |
| 194 and 165 | 32010 |
| 120 and 153 | 6120 |